SOLUTION: how can i factor x^2+4x+4-y^2

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Given:
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Let's set off the first part of this in parentheses as follows:
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Now notice that the terms in the parentheses are a perfect square. They are equal to .
Substituting this into the original polynomial results in:
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Now you have something of the form in which a = x+2 and b = y. And
factors into
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Substituting (x+2) for "a" and y for "b" results in:
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becoming:
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and removing the parentheses around the (x + 2) terms gives the final answer of:
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Hope this helps you to understand the problem a little better. Cheers!